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Finding the Third Proportional to 2,098,937,199 and 4,593,268,158

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Solution

The third proportional to 2,098,937,199 and 4,593,268,158 is: 10,051,807,353.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,098,937,199 : 4,593,268,158 = 4,593,268,158 : x
  2. Step 2: Convert to fraction form
    2,098,937,199/4,593,268,158 = 4,593,268,158/x
  3. Step 3: Cross multiply
    2,098,937,199x = 4,593,268,158 × 4,593,268,158
  4. Step 4: Simplify right side
    2,098,937,199x = 21,098,112,371,296,714,752
  5. Step 5: Solve for x
    x = 21,098,112,371,296,714,752/2,098,937,199
  6. Step 6: Final answer
    x = 10,051,807,353.43

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.